Combination Quote by Alan Turing

Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity. The…

— Alan Turing

Mathematical reasoning may be regarded...

— Alan Turing

Intuitions come first, strategic reasoning second.

— Jonathan Haidt

Mathematical Reasoning is not only exact; it has its own criteria of reality.

— Paul Feyerabend

The investigation of mathematical truths accustoms the mind to method and correctness in reasoning, and is an employment peculiarly worthy of rational beings.

— George Washington

Mathematicians create by acts of insights and intuition. Logic then sanctions the conquests of intuition.

— Morris Kline

Mathematics, in its widest significance, is the development of all types of formal, necessary, deductive reasoning.

— Alfred North Whitehead

Mathematics is a language plus reasoning; it is like a language plus logic. Mathematics is a tool for reasoning.

— Richard P. Feynman

Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.

— Felix Klein

Intuition is the supra-logic that cuts out all the routine processes of thought and leaps straight from the problem to the answer.

— Robert Graves

Intuition is often mistaken, but not altogether.

— Mason Cooley

Intuition is the clear conception of the whole at once.

— Johann Kaspar Lavater